What is the probability that the arrangement has both consecutive W's and consecutive Y's in WYSIWYG?

**Ans. 0.0952**This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

What is the probability that the arrangement has both consecutive W's and consecutive Y's in WYSIWYG?

**Ans. 0.0952**

In how many ways may fifty-two cards be divided amongst tour players, so that each may have thirteen ?

**Ans. $\frac{52!}{(13!)^4}$**

In how many ways can three boys divide twelve oranges, each taking four, the oranges being all of different sizes ?

**Ans. 34650**

Four flags are to be hoisted on one mast, and there are twenty different flags to choose from : what choice have we ?

**Ans. 116280**

Probability of n Heads in 2n Tosses of a Coin?

Ans. $\frac{(2n)!}{{(n!)^2}{2^{(2n)}}}$

Ans. $\frac{(2n)!}{{(n!)^2}{2^{(2n)}}}$

In how many ways can the following letters be divided between two persons :

a, a, a, a, b, b, b, c, c, d?

**Ans. 118**

a, a, a, a, b, b, b, c, c, d?

In how many ways can six different things be divided into two parcels ?

**Ans. 31**

There are twenty candidates for an office, and seven electors. In how many ways can the votes be given ?

In how many ways can you arrange on a shelf 6 books out of 10 (distinct) books?

**Ans. 151200**

How many integers between 100 and 999 inclusive consist of distinct odd digits?

**Ans.** 60

Suppose it is estimated that the chance that A can solve a certain problem is $\frac{2}{3}$ , and the chance that B can solve it is $\frac{5}{12}$ ;let us consider what is the chance of the problem being solved when they both try.

**Ans.** $\frac{29}{36}$

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